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Finding the Fourth Proportional to 3,739.44, 5,612.63 and 1,891.86

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Solution

The fourth proportional to 3,739.44, 5,612.63 and 1,891.86 is: 2,839.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,739.44 : 5,612.63 = 1,891.86 : x
  2. Step 2: Convert to fraction form
    3,739.44/5,612.63 = 1,891.86/x
  3. Step 3: Cross multiply
    3,739.44x = 5,612.63 × 1,891.86
  4. Step 4: Simplify right side
    3,739.44x = 10,618,310.19
  5. Step 5: Solve for x
    x = 10,618,310.19/3,739.44
  6. Step 6: Final answer
    x = 2,839.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.